7,724,429

397 × 19457

7,724,429 factors as 397 × 19457. Its 4 positive divisors give a proper-divisor sum of 19,855, so this integer is deficient. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 397 × 19457

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 7,744,284

Proper Divisor Sum 19,855

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7724419 ← → #7724447

Radix Representation

Decimal	7724429
Binary	11101011101110110001101 (23 bits)
Octal	0o35356615
Hexadecimal	0x75DD8D

Divisor Catalog (4)

1 397 19,457 7,724,429

Collatz Trajectory (124 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

7,724,429 23,173,288 11,586,644 5,793,322 2,896,661 8,689,984 4,344,992 2,172,496 1,086,248 543,124 271,562 135,781 407,344 203,672 101,836 50,918 25,459 76,378 38,189 114,568 57,284 28,642 14,321 42,964 21,482 10,741 32,224 16,112 8,056 4,028 2,014 1,007 3,022 1,511 4,534 2,267 6,802 3,401 10,204 5,102 2,551 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180

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